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Dsa Sliding Window Fixed

DodaTech 1 min read

In this tutorial, you'll learn about How to Fix Fixed Sliding Window Errors. We cover key concepts, practical examples, and best practices.

Fix fixed sliding window errors when window boundary off-by-one or initial window not processed.

Quick Fix

Wrong

def fixed(a,k):
    s=sum(a[:k])
    res=[s]
    for i in range(1,len(a)-k+1):
        s=s-a[i-1]+a[i+k-1]; res.append(s)
    return res

Index i+k-1 should be correct. Common bug: i+k goes out of bounds.

def fixed(a,k):
    if not a or k<=0: return []
    s=sum(a[:k])
    res=[s]
    for i in range(k,len(a)):
        s=s+a[i]-a[i-k]
        res.append(s)
    return res
[1,3,-1,-3,5,3,6,7], k=3 -> [3,5,1,5,7,16]. O(n).

Prevention

Add new element, subtract old element. Slide right one position at a time.

DodaTech Tools

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FAQ

What is fixed window?

Fixed-size sliding window computing rolling metric. O(n) by incremental update.

Initial window?

Compute first window sum. Then slide: add new, subtract old.

Edge cases?

k>len(a) or k<=0 -> empty result.

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